171965 has 8 divisors (see below), whose sum is σ = 208608. Its totient is φ = 136080.

The previous prime is 171947. The next prime is 172001. The reversal of 171965 is 569171.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 171965 - 2¹⁴ = 155581 is a prime.

It is a super-2 number, since 2×171965² = 59143922450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (26076).

2¹⁷¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

171965 is a deficient number, since it is larger than the sum of its proper divisors (36643).

171965 is a wasteful number, since it uses less digits than its factorization.

171965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379.

The product of its digits is 1890, while the sum is 29.

The square root of 171965 is about 414.6866286728. The cubic root of 171965 is about 55.6092052112.

The spelling of 171965 in words is "one hundred seventy-one thousand, nine hundred sixty-five".